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Finding the Fourth Proportional to 648.46, 895.37 and 427.72

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Solution

The fourth proportional to 648.46, 895.37 and 427.72 is: 590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.46 : 895.37 = 427.72 : x
  2. Step 2: Convert to fraction form
    648.46/895.37 = 427.72/x
  3. Step 3: Cross multiply
    648.46x = 895.37 × 427.72
  4. Step 4: Simplify right side
    648.46x = 382,965.52
  5. Step 5: Solve for x
    x = 382,965.52/648.46
  6. Step 6: Final answer
    x = 590.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.